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2018

Holden, Elizabeth, Collis, Joe, Brook, Bindi S. and O'Dea, Reuben D. (2018) A multiphase multiscale model for nutrient limited tissue growth. ANZIAM Journal, 59 (4). pp. 499-532. ISSN 1446-8735

2017

Collis, Joe, Connor, Anthony J., Paczkowski, Marcin, Kannan, Pavitra, Pitt-Francis, Joe, Byrne, Helen M. and Hubbard, Matthew E. (2017) Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: a tutorial. Bulletin of Mathematical Biology, 79 (4). pp. 939-974. ISSN 1522-9602

Collis, Joe, Brown, D.L., Hubbard, Matthew E. and O'Dea, Reuben D. (2017) Effective equations governing an active poroelastic medium. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2198). pp. 1-27. ISSN 1471-2946

Irons, Linda, Collis, Joe and O'Dea, Reuben D. (2017) Microstructural influences on growth and transport in biological tissue—a multiscale description. In: Modeling of microscale transport in biological processes. Academic Press, Boston, pp. 311-334. ISBN 9780128045954

2016

Collis, Joe, Hubbard, Matthew E. and O'Dea, Reuben D. (2016) A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics . ISSN 1469-4425

Collis, Joe, Hubbard, Matthew E. and O'Dea, Reuben D. (2016) Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth. Computer Methods in Applied Mechanics and Engineering, 309 . pp. 554-578. ISSN 1879-2138

Collis, Joe and Houston, Paul (2016) Adaptive discontinuous Galerkin methods on polytopic meshes. In: X-DMS eXtended Discretization Methods, 9-11 Sept 2015, Ferrara, Italy.

2015

Cliffe, Andrew, Collis, Joe and Houston, Paul (2015) Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. SIAM Journal on Scientific Computing, 37 (2). B127-B152. ISSN 1064-8275

Antonietti, Paola F., Cangiani, Andrea, Collis, Joe, Dong, Zhaonan, Georgoulis, Emmanuil H., Giani, Stefano and Houston, Paul (2015) Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains. In: Lecture Notes in Computational Science and Engineering. Lecture Notes in Computational Science and Engineering . Springer Verlag. (Submitted)